Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials
- Instituto de Fisica, Universidade Federal de Alagoas, 57072-970 Maceio, AL (Brazil)
A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the one-particle density of states. Here, we show that scale-free correlations in the random potential suppress the disorder induced Bose-Einstein condensation (BEC). Within a tight-binding approach, we consider free Bosons moving in a scale-free correlated random potential with spectral density decaying as 1/k{sup {alpha}}. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential ({alpha}>1). On the other hand, a weaker suppression of BEC takes place in nonbinarized scale-free potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent {alpha}{yields}{infinity}.
- OSTI ID:
- 21502867
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 82, Issue 17; Other Information: DOI: 10.1103/PhysRevB.82.172201; (c) 2010 The American Physical Society; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
BOSONS
CHAINS
CONDENSATES
CORRELATIONS
CRITICAL TEMPERATURE
DENSITY
ONE-DIMENSIONAL CALCULATIONS
PARTICLES
RANDOMNESS
SPECTRAL DENSITY
FUNCTIONS
PHYSICAL PROPERTIES
SPECTRAL FUNCTIONS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE